116201164680 has 160 divisors (see below), whose sum is σ = 390944030400. Its totient is φ = 30956909184.

The previous prime is 116201164663. The next prime is 116201164697. The reversal of 116201164680 is 86461102611.

116201164680 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 0 + 1 + 1 + 646 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116201164663) and next prime (116201164697).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3427251 + ... + 3460989.

It is an arithmetic number, because the mean of its divisors is an integer number (2443400190).

Almost surely, 2^116201164680 is an apocalyptic number.

116201164680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116201164680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195472015200).

116201164680 is an abundant number, since it is smaller than the sum of its proper divisors (274742865720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116201164680 is a wasteful number, since it uses less digits than its factorization.

116201164680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34825 (or 34812 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 116201164680 in words is "one hundred sixteen billion, two hundred one million, one hundred sixty-four thousand, six hundred eighty".